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Forecasting the Yield Curve with S-Plus

In this paper, Dario Cziráky, shows how to implement the Nelson-Siegel and Svensson models using non-linear least squares and how to obtain standard errors and confidence intervals for the parameters, which proves to be useful in assessing the goodness-of-fit at specific points in the term structure, such as at the events of non-parallel shifts.

Dario Cziráky
Fri 4 Mar 2022
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An Asymptotic FX Option Formula in the Cross Currency Libor Market Model

In this article, Atsushu Kawai and Peter Jäckel introduce analytic approximation formulae for FX options in the Libor market model (LMM). The method to derive the formulae is an asymptotic expansion technique introduced in Kawai [Kaw03]. 

Atsushu Kawai and Peter Jäckel
Fri 4 Mar 2022
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Rootless Vol

Kent Osband discusses the Brownian motion in this Wilmott article.

Kent Osband
Tue 1 Feb 2022
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Software Frameworks in Quantitative Finance, Part I Fundamental Principles and Applications to Monte Carlo Methods

In this Wilmott article, Daniel J. Duffy and Joerg Kienitz discuss a number of ongoing efforts when developing customizable software systems and frameworks for problems in Quantitative Finance.

Daniel J. Duffy and Joerg Kienitz
Tue 1 Feb 2022
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Building Your Wings on the Way Down

Aaron Brown discusses financial risk in this article from Wilmott Magazine.

Aaron Brown
Tue 4 Jan 2022
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Amaranthus Extermino

What does the 2006 Amaranth Advisors natural gas hedge fund disaster tell us about the state of hedge funds?

Bill Ziemba and Rachel Ziemba
Tue 4 Jan 2022
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Introduction to Variance Swaps

The purpose of this article is to introduce the properties of variance swaps, and give insights into the hedging and valuation of these instruments from the particular lens of an option trader.

Sebastien Bossu
Tue 7 Dec 2021
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Monte Carlo in Esperanto

This article shows how a simple parser environment in Excel/VBA could be used to perform single and multi-dimensional Monte Carlo.

Krishna Kumar
Thu 4 Nov 2021
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Numerical Methods for the Markov Functional Model

Some numerical methods for efficient implementation of the 1- and 2-factor Markov Functional models of interest rate derivatives are proposed.

Simon Johnson
Thu 4 Nov 2021
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Order Statistics for Value at Risk Estimation and Option Pricing

We apply order statistics to the setting of VaR estimation. Here techniques like historical and Monte Carlo simulation rely on using the k-th heaviest loss to estimate the quantile of the profit and loss distribution of a portfolio of assets. We show that when the k-th heaviest loss is used the expected quantile and its error will be independent of the portfolio composition and the return functions of the assets in the portfolio.

Frederik Herzberg & Christoph Bennemann
Tue 12 Oct 2021

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